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Finding the Third Proportional to 8,253,165,222 and 18,127,682,577

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Solution

The third proportional to 8,253,165,222 and 18,127,682,577 is: 39,816,587,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253,165,222 : 18,127,682,577 = 18,127,682,577 : x
  2. Step 2: Convert to fraction form
    8,253,165,222/18,127,682,577 = 18,127,682,577/x
  3. Step 3: Cross multiply
    8,253,165,222x = 18,127,682,577 × 18,127,682,577
  4. Step 4: Simplify right side
    8,253,165,222x = 328,612,875,612,469,329,920
  5. Step 5: Solve for x
    x = 328,612,875,612,469,329,920/8,253,165,222
  6. Step 6: Final answer
    x = 39,816,587,548.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.